Information on Result #688936
Linear OA(844, 74, F8, 27) (dual of [74, 30, 28]-code), using construction XX applied to Ce(26) ⊂ Ce(21) ⊂ Ce(20) based on
- linear OA(839, 64, F8, 27) (dual of [64, 25, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(835, 64, F8, 22) (dual of [64, 29, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(833, 64, F8, 21) (dual of [64, 31, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(84, 9, F8, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,8)), using
- extended Reed–Solomon code RSe(5,8) [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(844, 37, F8, 2, 27) (dual of [(37, 2), 30, 28]-NRT-code) | [i] | OOA Folding | |